Answer:
Step-by-step explanation:
Four
Start by trying to understand what f(x) means. First of all it is the same thing as y in the equation given in question 4. It is a shorthand that tells you that you put an x in wherever you see an x on the right.
More important, it tells you what to put in for x on the right.
f(z) would tell you to put z in for x anywhere there is an x on the right.
f(z)=2z+1. It is just a shorthand to tell you what to do on the right.
f(2) means put a 2 in for the x on the right. Read all of this carefully. You need to know it.
f(2) = 2(2) + 1
f(2) = 4 + 1
f(2) = 5
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Five
f(x) = -x - 5 The minus 4 is not going to change what you do.
f(-4) = -(-4) - 5 Wherever you see an x you put in a minus 4
f(-4) = 4 - 5
f(-4) = - 1
======================
Just so you know, consider a more complicated example
f(x) = 20x^3 + 7x^2 + 4x + 19
Where ever you see an x put in 2
f(2) = 20*(2^3) + 7*(2^2) + 4(2) + 19
f(2) = 20*8 + 7*4 + 4*2 + 19
f(2) = 160 + 28 + 8 + 19
f(2) = 215
Note x can be anything the question tells you it is.
f(5) means put a 5 in for every x.
Answer:
a) night, from cool land to sea
b) day, from cool sea to land
Answer:
The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors
P(X⁻ ≥ 96.3) = 0.0087
Step-by-step explanation:
<u><em>Step(i):-</em></u>
Given that the mean of the Population = 95
Given that the standard deviation of the Population = 5
Let 'X' be the random variable in a normal distribution
Let X⁻ = 96.3
Given that the size 'n' = 84 monitors
<u><em>Step(ii):-</em></u>
<u><em>The Empirical rule</em></u>


Z = 2.383
The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors
P(X⁻ ≥ 96.3) = P(Z≥2.383)
= 1- P( Z<2.383)
= 1-( 0.5 -+A(2.38))
= 0.5 - A(2.38)
= 0.5 -0.4913
= 0.0087
<u><em>Final answer:-</em></u>
The probability that the mean monitor life would be greater than 96.3 months in a sample of 84 monitors
P(X⁻ ≥ 96.3) = 0.0087
Using the concept of domain, the domain of (f.g)(x) is given by:
{x ∈ ℝ | x ≠ 3}
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- The domain of a function is given by all possible input values, that is, <u>on a graph, all values that the x-axis assumes.</u>
- In the graph, <u>function f assumes all real values.</u>
- Function g is not defined for x = 3, thus, it's domain is all real values except 3.
- Thus, the multiplication, as
, will also not be defined at x = 3, and the domain of the multiplication is:
{x ∈ ℝ | x ≠ 3}
A similar problem is given at brainly.com/question/4175434
9 hrs and 35 minutes he would have traveled. Hope I helped.